Ferromagnetic Ising Model on multiregular random graphs
| Autor: | Alberici, Diego, Contucci, Pierluigi, Mingione, Emanuele, Zimmaro, Filippo |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | A family of multispecies Ising models on generalized regular random graphs is investigated in the thermodynamic limit. The architecture is specified by class-dependent couplings and magnetic fields. We prove that the magnetizations, neighbours correlations and free energy converge to suitable functions evaluated at the solution of a belief propagation fixed point equation. In absence of magnetic fields, a phase transition is identified and the corresponding critical parameters are determined by the spectral radius of a low-dimensional matrix. Comment: 34 pages, 2 figures |
| Databáze: | arXiv |
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